Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892c |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-1707264 = -1 · 28 · 33 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 6 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,62] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
11664/247 |
j-invariant |
L |
5.0841808966976 |
L(r)(E,1)/r! |
Ω |
1.9866258093214 |
Real period |
R |
1.279602045046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568y1 8892d1 115596b1 |
Quadratic twists by: -4 -3 13 |